Which equation represents a direct linear variation<br>A. Y=x2<br>B. Y=2/5x<br>C. Y=1/x<br>D. Y=x+3

What is the intermediate step in the form (x + a)2 = b as a result of completing the square for the following equation? -3x2 – 1

Gennadij [26K]

Answer:

x^2+12x+102 = 0

Step-by-step explanation:

(x+6)^2=12

5 0

3 years ago

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5. Sue is 20 years old and Anne is 10 years old. How many years ago was Sue 3 times as old as Anne

Alexandra [31]

She is 5 years older :) hope I helped

3 0

3 years ago

You're a quality control manager in a fruit juice company. You want to choose

alekssr [168]

Answer:

246.

Step-by-step explanation:

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

b) The minimum sample size to achieve this is 246.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find the margin of error M as such

In which is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,

The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22

The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)

We need a sample size of n

n is found when

Then

Rounding up

The minimum sample size to achieve this is 246.

7 0

3 years ago

Which statement is true? A 0.0038 > 0.004 B 0.0749 = to 0.075 C 0.4731 >0.5001 D

Rashid [163]

D. 0.7910= 0.791 is the answer to your problem.

6 0

4 years ago

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Two points are located on a rigid wheel that is rotating with an increasing angular velocity about a fixed axis. The axis is per

exis [7]

Answer:

Same angular velocity

Same angular acceleration

Point 1 has greater tangential speed

Point 1 has greater tangential acceleration

Point 1 has greater centripetal acceleration

Step-by-step explanation:

Since both points are located on the rigid wheel, their angular velocity and acceleration must be the same for all point located on the wheel.

The tangential quantities, however, would depend on how far they are from the axis of rotation:

$v = \omega R$

$a_T = \alpha R$

$a_c = \omega^2 R$

where $\omega, \alpha$ are the angular velocity and acceleration, respectively, which is the same for 2 points. R is the radius of rotation. In this case point 1 has a larger radius since it lies on the rim and point 2 is only half way between.

Therefore, tangential speed, acceleration and centripetal acceleration of point 1 is larger than point 2.

5 0

4 years ago

Which equation represents a direct linear variationA. Y=x2B. Y=2/5xC. Y=1/xD. Y=x+3​

Which equation represents a direct linear variationA. Y=x2B. Y=2/5xC. Y=1/xD. Y=x+3